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An axiomatic theory (such as a geometry) is said to be complete if each valid statement in the theory is capable of being proven true or false.

A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

A complex fraction is a fraction in which numerator, denominator, or both are themselves fractions, for example (2/3)/(4/5).

A complex translation is a map of the form z|->z+a, where a is a fixed complex number, which corresponds to translation (shifting) of points the complex plane by the complex ...

A complex vector space is a vector space whose field of scalars is the complex numbers. A linear transformation between complex vector spaces is given by a matrix with ...

A group L is a component of H if L is a quasisimple group which is a subnormal subgroup of H.

A test which always identifies prime numbers correctly, but may incorrectly identify a composite number as a prime.

A function f(x) is said to be concave on an interval [a,b] if, for any points x_1 and x_2 in [a,b], the function -f(x) is convex on that interval (Gradshteyn and Ryzhik 2000).

A transformation of the form g=D^(T)etaD, where det(D)!=0 and det(D) is the determinant. Isometries are also called congruence transformations.

A proposition which is consistent with known data, but has neither been verified nor shown to be false. It is synonymous with hypothesis.